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Boolean algebra

[ boo-lee-uhn ]
/ ˈbu li ən /
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noun

Logic. a deductive logical system, usually applied to classes, in which, under the operations of intersection and symmetric difference, classes are treated as algebraic quantities.
Mathematics. a ring with a multiplicative identity in which every element is an idempotent.

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Origin of Boolean algebra

1885–90; named after George Boole; see -an

Words nearby Boolean algebra

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2021

How to use Boolean algebra in a sentence

British Dictionary definitions for Boolean algebra

Boolean algebra
/ (ˈbuːlɪən) /

noun

a system of symbolic logic devised by George Boole to codify logical operations. It is used in computers
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Scientific definitions for Boolean algebra

Boolean algebra
[ bōōlē-ən ]

A form of symbolic logic, in which variables, which stand for propositions, have only the values “true” (or “1”) and “false” (or “0”). Relationships between these values are expressed by the Boolean operators AND, OR, and NOT. For example, “a + b” means “a OR b”, and its value is true as long as either a is true or b is true (or both). Boolean logic can be used to solve logical problems, and provides the mathematical tools fundamental to the design of digital computers. It is named after the mathematician George Boole. Also called Boolean logic See also logic gate.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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